Higher-order green's function derivatives and BEM evaluation of stresses at interior points in a 3D generally anisotropic solid

Yui-Chuin Shiah, C. L. Tan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

By differentiating the Green function of Ting and Lee (1997) for 3D general anisotropic elastotatics in a spherical coordinate system as an intermediate step, and then using the chain rule, derivatives of up to the second order of this fundamental solution are obtained in exact, explicit, algebraic forms. No tensors of order higher than two are present in these derivatives, thereby allowing these quantities to be numerically evaluated quite expeditiously. These derivatives are required for the computation of the internal point displacements and stresses via Somigliana's identity in BEM analysis. Some examples are presented to demonstrate their successful implementation to this end, in which the numerical results are compared with corresponding values obtained using the finite element method (FEM). An assessment of the relative efficiency of the BEM analysis when using the present exact form of the derivatives versus another previous exact form is also presented.

Original languageEnglish
Pages (from-to)95-108
Number of pages14
JournalCMES - Computer Modeling in Engineering and Sciences
Volume78
Issue number2
Publication statusPublished - 2011 Nov 29

All Science Journal Classification (ASJC) codes

  • Software
  • Modelling and Simulation
  • Computer Science Applications

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